Principles of Geotechnical Engineering (MindTap Course List)
9th Edition
ISBN: 9781305970939
Author: Braja M. Das, Khaled Sobhan
Publisher: Cengage Learning
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Chapter 14, Problem 14.2P
To determine
Find the passive force
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12.2
), Figure P12.2, and the following values to determine the at-rest lat-
eral earth force per unit length of the wall. Also find the location of the resultant.
H = 5 m, H1 = 2 m, H, = 3 m, y = 15.5 kN/m², yt = 18.5 kN/m², 4' = 34°,
c' = 0, q = 20 kN/m², .
Repeat problem when water level
Groundwater
at ground surface.
Figure P12.2
1- Figure below shows a retaining wall. Determine the magnitude of the lateral earth force per unit length for the
following conditions:
1) At-rest force
2) Active force
Also, find the location of the resultant, 7, measured from the bottom of the wall.
H (ft)
y (lb/ft')
15
19
120
Sand
Unit weight = y (or density = p)
%3D
H
c' = 0
8' (angle of wall friction) = 0
A 6m retaining wall is supporting a soil with the following properties:Unit weight = 16 KN/cu.mAngle of internal friction = 25ºCohesion = 14 Kpaa. Assuming no tensile cracks occurs in the soil; determine its normal pressure acting at the back of the wall.b. If tensile crack occurs in the soil, calculate its active pressure acting on the wall.c. Find the location of tensile crack measured from the surface of horizontal backfill.
Chapter 14 Solutions
Principles of Geotechnical Engineering (MindTap Course List)
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- Use Eq. (12.3), Figure P12.2, and the following values to determine the at-rest lateral earth force per unit length of the wall. Also find the location of the resultant. H = 5 m, H1 = 2 m, H2 = 3 m, γ = 15.5 kN/m3, γsat = 18.5 kN/m3, Φ' = 34º, c' = 0, q = 20 kN/m2, and OCR = 1.arrow_forwardQ: For the retaining wall shown in the following figure, determine the force per unit length of the wall for Rankine's active state. Also find the location of the resultant. 3 m z 3 m y = 16 kN/m³ ' = 30° c' = 0 Groundwater table Y sat = 18 kN/m³ ' = 35° c' = 0arrow_forwardA frictionless retaining wall is shown ih the figure below. q= 10 kN/m 1= 15 kN/m o = 26° d'=8 kN/m 4 marrow_forward
- 6. Details of a retaining wall are shown in the figure below. The unit weight of the wall material is 23 kN/m³. Assume a reduction factor K = 2/3 to consider the cohesion and friction angle at the base slab. Check the stability of the wall in terms of overturning and sliding failure. Use Rankine's theory to compute the active earth pressure. Soil 2 Y2 = 17 kN/m³ 6.5 m Im 2 m <-1.5m - Yc = 23 kN/m³ c₂ = 10 kN/m² 92 = 25° a = 15⁰ Soil 1 Y₁ = 16 kN/m³ c₁ = 0 kN/m² P₁ = 30°arrow_forward13.22 Consider the retaining wall shown in Figure 13.38. The height of the wall is 9.75 m, and the unit weight of the sand backfill is 18.7 kN/m². Using Coulomb's equation, calculate the active force, Pq. on the wall for the following values of the angle of wall friction. Also, comment on the direction and location of the resultant. a. 8' = 14° b. 8' = 21° + Sand y = 18.7 kN/m³ c' = 0 d' = 34° e = 12° 8' (wall friction) e = 10° H= 9.75 m Figure 13.38 © Cengage Learning 2014arrow_forward13.2 Assume that the retaining wall shown in Figure 13.9 is frictionless. Determine the Rankine active force per unit length of the wall, the variation of active earth pressure with depth, and the location of the resultant. If H = 4m, Ø = 36° and y = 18 kN/m3 kN Ans. P, = 37.44", z = 1.33m m 13.3 Assume that the retaining wall shown in Figure 13.9 is frictionless. Determine the Rankine passive force per unit length of the wall, the variation of lateral earth pressure with depth, and the location of the resultant. If H = 5m, Ø = 35° and y = 14 kN/m? Ans. Pp 645.8 kN z = 1.67m m. Sand Unit weight = y (or density = p) %3D H c' = 0 8' (angle of wall friction) = 0 Figure 13.9arrow_forward
- 6. Details of a retaining wall are shown in the figure below. The unit weight of the wall 2/3 to consider the cohesion and material is 23 kN/m³. Assume a reduction factor K friction angle at the base slab. Check the stability of the wall in terms of overturning and sliding failure. Use Rankine's theory to compute the active earth pressure. 6.5 m m Ye= 23 kN/m³3 4 m -1.5m Soil 2 Y2 = 17 kN/m³ c₂ = 10 kN/m² 42 = 25° a = 15° Soil 1 Y₁ = 16 kN/m³ c₁ = 0 kN/m² 4₁ = 30°arrow_forwardConsider a 4-m-high retaining wall with a vertical back and horizontal granular backfill, as shown in Figure 12.25. Given: γ = 18 kN/m3, Φ' = 40º, c' = 0, ẟ' = 20º, kv = 0, and kh = 0.2. Determine the passive force Ppe per unit length of the wall taking the earthquake effect into consideration.arrow_forwardIM No.: IM-C 12.1 Given: H = 12 ft, q = 0, y = 108 lb/ft', c' = (0, and o' 30°. Determine the at-rest lateral earth force per foot length of the wall. Also, find the location of the resultant. Use Eq. (12.4) and OCR = 2. 12.2 Use the following values to determine the at-rest lat- eral earth force per unit length of the wall. Also find the location of the resultant. H = 5 m, H, = 2 m, H, = 3 m, y = 15.5 kN/m', y = 18.5 kN/m', ' = 34°, c' = 0, q = 20 kN/m², and OCR = 1. 12.3 Given the height of the retaining wall, H is 18 ft; the backfill is a saturated clay with o = 0°, c = 500 lb/ft,y = 120 Ib/ft", a. Determine the Rankine active pressure distribution diagram behind the wall. b. Determine the depth of the tensile crack, z.. c. Estimate the Rankine active force per foot length of the wall before and after the occurrence of the tensile crack. 12.4 A vertical retaining wall is 7 m high with a horizontal backfill. For the backfill, assume that y = 16.5 kN/m', ' = 26°, and c' = 18 kN/m2.…arrow_forward
- Refer to Figure 12.3a. Given: H = 12 ft, q = 0, γ = 108 lb/ft3, c' = 0, and Φ' = 30º. Determine the at-rest lateral earth force per foot length of the wall. Also, find the location of the resultant. Use Eq. (12.4) and OCR = 2.arrow_forwardZ 0 y = 15.72 kN/m³ ₁ = 30° 2m c = 0 1 m Groundwater table Ysat 18.86 kN/m³ 2 = 26° c₂= 10 kN/m² (a) For the retaining wall shown in picture, determine the Rankine passive force and the Rankine active force per unit length of the wall. Also find the location of the resultant line of action.arrow_forward(Solve the following exercise, showing and explaining step by step to its resolution). An 8.50 m high retaining wall is built to support a sandy silt with a volumetric weight of 1850 kg/m3 and an angle of internal friction of 28°. The silt also has a cohesion of 1300 kg/m2. The ground surface is horizontal. The effect of the friction of the wall is neglected. Determine the pressure at the base of the screen.arrow_forward
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